Question

Goodness of fit test to determine whether or not drink preferences have changed at his coffee shop. use a 0.05 level of significance. hypotheses:

h0: there is ____ in drink preference this year.
h1: there is ____ in drink preference this year.

select the best fit choices that fit in the two blank spaces above.
a. no difference, a difference
b. a difference, no difference
c. no difference, no difference
d. a difference, a difference

Answer 1

The best-fit choices for the blank spaces in the hypothesis statements are 'no difference' and 'a difference'. Option (A) is correct.

Step-by-step explanation:

The best-fit choices that fit in the two blank spaces are:

H0: There is no difference in drink preference this year.

H1: There is a difference in drink preference this year.

In a goodness-of-fit test, the null hypothesis (H0) assumes that there is no difference in the distribution of drink preferences this year, while the alternative hypothesis (H1) assumes that there is a difference. The significance level of 0.05 is used to determine the level of evidence required to reject the null hypothesis.

Hypothesis testing is a statistical method used to determine if there is enough evidence in sample data to conclude a population. It involves formulating two competing hypotheses, the null hypothesis (H0) and the alternative hypothesis (Ha), and then collecting data to assess the evidence.

There are three types of hypothesis tests: right-tailed, left-tailed, and two-tailed. When the null and alternative hypotheses are stated, it is observed that the null hypothesis is a neutral statement against which the alternative hypothesis is tested.